First integrals and analytical solutions of some dynamical systems
From MaRDI portal
Publication:2308113
DOI10.1007/s11071-018-4657-4zbMath1432.37084OpenAlexW2900774627WikidataQ128890970 ScholiaQ128890970MaRDI QIDQ2308113
Publication date: 25 March 2020
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-018-4657-4
Symmetries, invariants of ordinary differential equations (34C14) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Symmetries and invariants of dynamical systems (37C79)
Related Items (4)
First integrals of Hamiltonian systems: the inverse problem ⋮ On group analysis of optimal control problems in economic growth models ⋮ Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling ⋮ The first integrals and closed‐form solutions of a Susceptible‐Exposed‐Infectious epidemic model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Perturbation to symmetry and adiabatic invariants of discrete nonholonomic nonconservative mechanical system
- Solutions of the force-free Duffing-van der Pol oscillator equation
- Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter
- Invariance and first integrals of continuous and discrete Hamiltonian equations
- Conservation laws of two coupled non-linear oscillators
- Approximate partial Noether operators and first integrals for coupled nonlinear oscillators
- Extension of Noether's theorem to constrained non-conservative dynamical systems
- On approximations of first integrals for strongly nonlinear oscillators
- Approximate first integrals of a galaxy model
- A partial Lagrangian approach to mathematical models of epidemiology
- Generalization of approximate partial Noether approach in phase space
- Characterization of partial Hamiltonian operators and related first integrals
- Comparison of different approaches to construct first integrals for ordinary differential equations
- Asymptotic approximations of first integrals for a nonlinear oscillator
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- On approximations of first integrals for a system of weakly nonlinear, coupled harmonic oscillators
- A partial Hamiltonian approach for current value Hamiltonian systems
- Noether-type symmetries and conservation laws via partial Lagrangians
- Dynamic response of some dissipative systems by means of functions of matrices
- Response, stability and conservation laws for the sleeping top problem
- A Perturbation Method Based on Integrating Factors
- A Perturbation Method Based on Integrating Vectors and Multiple Scales
- A comparison of four approaches to the calculation of conservation laws
- Solving second-order ordinary differential equations by extending the Prelle-Singer method
- APPROXIMATE SYMMETRIES
- Partial Noether operators and first integrals via partial Lagrangians
- First integrals of generalized Ermakov systems via the Hamiltonian formulation
- Approximate generalized symmetries, normal forms and approximate first integrals
- On integrating vectors and multiple scales for singularly perturbed ordinary differential equations
- Variational formulation of approximate symmetries and conservation laws
This page was built for publication: First integrals and analytical solutions of some dynamical systems